ENGLISH

A user's guide to spectral sequences

By John McCleary

Book information

Publisher
Cambridge University Press
Year
2001
ISBN
0521561418, 9780521561419, 0521567599
LCC
QA612.8.M33 2000
Open Library ID
OL7746427M
Language
english
Format
DJVU
Filesize
3 MB (3658109 bytes)
Series
Cambridge studies in advanced mathematics 58
Edition
2nd ed
Pages
575\575
Library
kolxoz
DPI
300
Time added
2009-07-20 03:45:11

Description

Spectral sequences are among the most elegant and powerful methods of computation in mathematics. This book describes some of the most important examples of spectral sequences and some of their most spectacular applications. The first part treats the algebraic foundations for this sort of homological algebra, starting from informal calculations. The heart of the text is an exposition of the classical examples from homotopy theory, with chapters on the Leray-Serre spectral sequence, the Eilenberg-Moore spectral sequence, the Adams spectral sequence, and, in this new edition, the Bockstein spectral sequence. The last part of the book treats applications throughout mathematics, including the theory of knots and links, algebraic geometry, differential geometry and algebra. This is an excellent reference for students and researchers in geometry, topology, and algebra.

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